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Finding the Fourth Proportional to 972.46, 1,458.67 and 323.16

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Solution

The fourth proportional to 972.46, 1,458.67 and 323.16 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.46 : 1,458.67 = 323.16 : x
  2. Step 2: Convert to fraction form
    972.46/1,458.67 = 323.16/x
  3. Step 3: Cross multiply
    972.46x = 1,458.67 × 323.16
  4. Step 4: Simplify right side
    972.46x = 471,383.80
  5. Step 5: Solve for x
    x = 471,383.80/972.46
  6. Step 6: Final answer
    x = 484.73

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.